Question

the measure of a line segment joining the midpoint of Ab and ac of triangle ABC is 3.5 cm find measurement of BC ​

Answer 1

Answer:

20

Step-by-step explanation:

M & N are the mid-point of AB and AC.

∴MN∥BC (mid-point theorem)

∴ In △AMN & △ABC

∠A=∠A (common)

∠AMN=∠ABC (corresponding angles)

∠ANM=∠ACB (corresponding angles)

∴△AMN∼△ABC (AAA)

∴ABAM=BCMN=NCAN=21

∴BCMN=21

BC=2MN

∴MN=(−3−3)2+(−3−5)2=36+64=10

∴BC=2×10=20